In exteriorul patratului ABCD se considera punctul M astfel incat MA=MB=MC=MD.Un plan a paralel cu planul (ABC) taie segmentele [MA] in A’,[MB]in B’,[MC] in C’ si [MD] in D’.Stiind ca AB=2a, A’B’=a si ca d(M;(ABC) )=2b,calculati distanta dintre planele a si (ABC)
Ajutor :3
Conf. problemei propuse avem;
. Raportul ;
. Fie acum planul (AMO) , unde O este proiectia lui M pe (ABCD).![](http://www.texify.com/img/%5CLARGE%5C%21%5Cnormalsize%28AMO%29%5Ccap%28ABCD%29%3DAO.SI%28AMO%29%5Ccap%28A%27B%27C%27D%27%29%3DA%27O%27%5Cparallel%7BAO%7D%5CRightarrow%20O%27O%3Db%20.gif)
![](http://www.texify.com/img/%5CLARGE%5C%21%5Cnormalsize%5Cfrac%7BA%27B%27%7D%7BAB%7D%3D%5Cfrac%7BMA%27%7D%7BMA%7D%3D%5Cfrac%7BA%27O%27%7D%7BAO%7D%3D%5Cfrac%7BMO%27%7D%7BMO%7D%3D%5Cfrac%7B1%7D%7B2%7D%5CRightarrow%20O%27O%3Db%20.gif)
Raportul